Regularity properties of non-negative sparsity sets. Tam, M. K. arXiv:1607.05924, 2016.
Regularity properties of non-negative sparsity sets [link]Arxiv  abstract   bibtex   
This paper investigates regularity properties of two non-negative sparsity sets: non-negative sparse vectors, and low-rank positive semi-definite matrices. Novel formulae for their Mordukhovich normal cones are given and used to formulate sufficient conditions for non-convex notions of regularity to hold. Our results provide a useful tool for justifying the application of projection methods to certain rank constrained feasibility problems.
@Article{tam2015sparsity,
  Title                    = {Regularity properties of non-negative sparsity sets},
  Author                   = {Tam, M. K.},
  Journal                  = {arXiv:1607.05924},
  Year                     = {2016},

  Abstract                 = {This paper investigates regularity properties of two non-negative sparsity sets: non-negative sparse vectors, and low-rank positive semi-definite matrices. Novel formulae for their Mordukhovich normal cones are given and used to formulate sufficient conditions for non-convex notions of regularity to hold. Our results provide a useful tool for justifying the application of projection methods to certain rank constrained feasibility problems.},
  Owner                    = {matt},
  Timestamp                = {2015.09.18},
  Url_arxiv                = {http://arxiv.org/abs/1607.05924}
}

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